13007961 has 6 divisors (see below), whose sum is σ = 18789290. Its totient is φ = 8671968.

The previous prime is 13007959. The next prime is 13007963. The reversal of 13007961 is 16970031.

13007961 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13007959) and next prime (13007963).

It can be written as a sum of positive squares in only one way, i.e., 12960000 + 47961 = 3600^2 + 219^2 .

It is not a de Polignac number, because 13007961 - 2¹ = 13007959 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13007963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 722656 + ... + 722673.

Almost surely, 2^13007961 is an apocalyptic number.

It is an amenable number.

13007961 is a deficient number, since it is larger than the sum of its proper divisors (5781329).

13007961 is a wasteful number, since it uses less digits than its factorization.

13007961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1445335 (or 1445332 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 13007961 is about 3606.6550985643. The cubic root of 13007961 is about 235.1814563507.

Adding to 13007961 its reverse (16970031), we get a palindrome (29977992).

It can be divided in two parts, 1300 and 7961, that added together give a cube (9261 = 21³).

The spelling of 13007961 in words is "thirteen million, seven thousand, nine hundred sixty-one".